Advertisement

Meccanica

, Volume 52, Issue 8, pp 1767–1780 | Cite as

The PELskin project—part I: fluid–structure interaction for a row of flexible flaps: a reference study in oscillating channel flow

  • Julien Favier
  • Cuicui Li
  • Laura Kamps
  • Alistair Revell
  • Joseph O’Connor
  • Christoph Brücker
Article

Abstract

Previous studies of flexible flaps attached to the aft part of a cylinder have demonstrated a favourable effect on the drag and lift force fluctuation. This observation is thought to be linked to the excitation of travelling waves along the flaps and as a consequence of that, periodic shedding of the von Kármán vortices is altered in phase. A more general case of such interaction is studied herein for a limited row of flaps in an oscillating flow; representative of the cylinder case since the transversal flow in the wake-region shows oscillating character. This reference case is chosen to qualify recently developed numerical methods for the simulation of fluid–structure interaction in the context of the EU funded ‘PELskin’ project. The simulation of the two-way coupled dynamics of the flexible elements is achieved via a structure model for the flap motion, which was implemented and coupled to two different fluid solvers via the immersed boundary method. The results show the waving behaviour observed at the tips of the flexible elements in interaction with the fluid flow and the formation of vortices in the gaps between the flaps. In addition, formation of vortices upstream of the leading and downstream of the trailing flap is seen, which interact with the formation of the shear-layer on top of the row. This leads to a phase shift in the wave-type motion along the row that resembles the observation in the cylinder case.

Keywords

Immersed boundary Flexible canopy Monami 

Notes

Acknowledgments

The financial support of the European Commission through the PELskin FP7 European project (AAT.2012.6.3-1—Breakthrough and emerging technologies) is greatly acknowledged. Funding of the position of Professor Christoph Brücker as the BAE SYSTEMS Sir Richard Olver Chair in Aeronautical Engineering is gratefully acknowledged herein. AR acknowledges support from the UK Engineering and Physical Sciences Research Council under the project UK Consortium on Mesoscale Engineering Sciences (UKCOMES) (Grant No. EP/L00030X/1).

References

  1. 1.
    Adrian R, Meinhart C, Tomkins C (2000) Vortex organization in the outer region of the turbulent boundary layer. J Fluid Mech 422:1–54ADSMathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Bhatnagar P, Gross E, Krook M (1954) A model for collision processes in gases. I: small amplitude processes in charged and neutral one-component system. Phys Rev 94:511–525ADSCrossRefzbMATHGoogle Scholar
  3. 3.
    Chandrasekaran V, Cain A, Nishida T, Cattafesta L, Sheplak M (2005) Dynamic calibration technique for thermal shear-stress sensors with mean flow. Exp Fluids 39:56–65CrossRefGoogle Scholar
  4. 4.
    Chorin AJ (1968) Numerical solution of Navier–Stokes equations. Math Comput 22(104):745–762MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Favier J, Dauptain A, Basso D, Bottaro A (2009) Passive separation control using a self-adaptive hairy coating. J Fluid Mech 627:451–483ADSMathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    Favier J, Revell A, Pinelli A (2013) A lattice Boltzmann-immersed boundary method to simulate the fluid interaction with moving and slender flexible objects. J Comput Phys 261:145–161ADSMathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    Favier J, Revell A, Pinelli A (2015) Numerical study of flapping filaments in a uniform fluid flow. J Fluids Struct 53:26–35CrossRefGoogle Scholar
  8. 8.
    Finnigan JJ, Mulhearn PJ (1978a) Modelling waving crops in a wind tunnel. Bound Layer Meteorol 14:253–277ADSCrossRefGoogle Scholar
  9. 9.
    Finnigan JJ, Mulhearn PJ (1978b) A simple mathematical model of airflow in waving plant canopies. Bound Layer Meteorol 14:415–431ADSCrossRefGoogle Scholar
  10. 10.
    Guo Z, Zheng C, Shi B (2002) Discrete lattice effects on the forcing term in the lattice Boltzmann method. Phys Rev E 65(4):046308ADSCrossRefzbMATHGoogle Scholar
  11. 11.
    Harlow FH, Welch E (1965) Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys Fluids 8(12):2182–2189ADSMathSciNetCrossRefzbMATHGoogle Scholar
  12. 12.
    Huang WX, Shin SJ, Sung HJ (2007) Simulation of flexible filaments in a uniform flow by the immersed boundary method. J Comput Phys 226(2):2206–2228ADSMathSciNetCrossRefzbMATHGoogle Scholar
  13. 13.
    van Kan J (1986) A second-order accurate pressure correction scheme for viscous incompressible flow. SIAM J Sci Stat Comput 7(3):870–891MathSciNetCrossRefzbMATHGoogle Scholar
  14. 14.
    Kim J, Moin P (1985) Application of a fractional-step method to incompressible Navier–Stokes equations. J Comput Phys 59(2):308–323ADSMathSciNetCrossRefzbMATHGoogle Scholar
  15. 15.
    Kunze S, Bruecker C (2012) Control of vortex shedding on a circular cylinder using self-adaptive hairy-flaps. C R Mcanique 340(1):41–56CrossRefGoogle Scholar
  16. 16.
    Nepf HM (2012) Flow and transport in regions with aquatic vegetation. Annu Rev Fluid Mech 44:123–142ADSMathSciNetCrossRefzbMATHGoogle Scholar
  17. 17.
    Nezu I, Okamoto T (2010) The effect of coherent waving motion on turbulence structure in flexible vegetated open channel flows. In: Proceedings of the international conference on Fluvial Hydraulics, River flow. Braunschweig, Germany, 8–10 Sept, pp 429–436Google Scholar
  18. 18.
    O’Connor J, Revell A, Mandal P, Day P (2016) Application of a lattice Boltzmann-immersed boundary method for fluid-filament dynamics and flow sensing. J Biomech 49(11):2143–2151CrossRefGoogle Scholar
  19. 19.
    Peskin CS (1972) Flow patterns around heart valves: a numerical method. J Comput Phys 10(2):252–271ADSMathSciNetCrossRefzbMATHGoogle Scholar
  20. 20.
    Peskin CS (2002) The immersed boundary method. Acta Numer 11:1–39MathSciNetCrossRefzbMATHGoogle Scholar
  21. 21.
    Pinelli A, Naqavi I, Piomelli U, Favier J (2010) Immersed-boundary methods for general finite-difference and finite-volume Navier–Stokes solvers. J Comput Phys 229(24):9073–9091ADSMathSciNetCrossRefzbMATHGoogle Scholar
  22. 22.
    Py C, Langre E, Moulia B, Hemon P (2005) Measurement of wind-induced motion of crop canopiesfrom digital video images. Agric For Meteorol 130:223–236CrossRefGoogle Scholar
  23. 23.
    Py C, Langre E, Moulia B (2006) A frequency lock-in mechanism in the interaction between wind and crop canopies. J Fluid Mech 568:425–449ADSCrossRefzbMATHGoogle Scholar
  24. 24.
    Qian Y, DHumieres D, Lallemand P (1992) Lattice bgk models for Navier–Stokes equation. Europhys Lett 17(6):479–484ADSCrossRefzbMATHGoogle Scholar
  25. 25.
    Uhlmann M (2005) An immersed boundary method with direct forcing for the simulation of particulate flows. J Comput Phys 209(2):448–476ADSMathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Laboratoire de Mécanique, Modélisation et Procédés Propres (M2P2), CNRS UMR 7340 Aix Marseille UniversitéMarseilleFrance
  2. 2.Institute for Mechanics and Fluid DynamicsTU BergakademieFreibergGermany
  3. 3.Department of Mechanical and Aeronautical EngineeringCity UniversityLondonUK
  4. 4.School of Mechanical, Aerospace and Civil Engineering (MACE)University of ManchesterManchesterUK

Personalised recommendations